Pith Number

pith:G6Z7E67R

pith:2017:G6Z7E67RHFJ76COTYNWT2AFN7X

not attested not anchored not stored refs pending

On k-caps in PG(n, q), with q even and n \geq 4

Joseph A. Thas

arxiv:1710.02512 v1 · 2017-10-06 · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G6Z7E67RHFJ76COTYNWT2AFN7X}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:33:33.259186Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37b3f27bf13953ff09d3c36d3d00adfdcd5c532d81f4143b72717daa6f4755bd

Aliases

arxiv: 1710.02512 · arxiv_version: 1710.02512v1 · doi: 10.48550/arxiv.1710.02512 · pith_short_12: G6Z7E67RHFJ7 · pith_short_16: G6Z7E67RHFJ76COT · pith_short_8: G6Z7E67R

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/G6Z7E67RHFJ76COTYNWT2AFN7X \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 37b3f27bf13953ff09d3c36d3d00adfdcd5c532d81f4143b72717daa6f4755bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "787fbc34b512b02b21e2e78a8e58576e508d96cdde5ca80ed1b754467e62ee66",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-10-06T17:43:54Z",
    "title_canon_sha256": "4ba12c644864e4df38890a7f06d7b6bdda0816551253e8bcd7c4deaadf7dad55"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.02512",
    "kind": "arxiv",
    "version": 1
  }
}